Liquid-solid transitions in the three-body hard-core model
arXiv:1410.1454 · doi:10.1209/0295-5075/109/20003
Abstract
We determine the phase diagram for a generalisation of two-and three-dimensional hard spheres: a classical system with three-body interactions realised as a hard cut-off on the mean-square distance for each triplet of particles. Quantum versions of this model are important in the context of the unitary Bose gas, which is currently under close theoretical and experimental scrutiny. In two dimensions, the three-body hard-core model possesses a conventional atomic liquid phase and a peculiar solid phase formed by dimers. These dimers interact effectively as hard disks. In three dimensions, the solid phase consists of isolated atoms that arrange in a simple-hexagonal lattice.
arXiv comment6 pages, 8 figures; reorganized introduction, expanded 3D section
References in corpus (21)
- Modern Theory of Nuclear Forces
- Evidence for Efimov quantum states in an ultracold gas of cesium atoms
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Observation of an Efimov spectrum in an atomic system
- 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
- Universality in Three- and Four-Body Bound States of Ultracold Atoms
- Shortcomings of the Bond Orientational Order Parameters for the Analysis of Disordered Particulate Matter
- Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
- Contact Measurements on Atomic BEC
- Universal dynamics of a degenerate unitary Bose gas
- Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
- Origin of the Three-body Parameter Universality in Efimov Physics
- Lifetime of the Bose Gas with Resonant Interactions
- Stability of a unitary Bose gas
- Weakly Bound Cluster States of Efimov Character
- Three-Body Interacting Bosons in Free Space
- Efimov-driven phase transitions of the unitary Bose gas
- Supplementary information to "Efimov-driven phase transitions of the unitary Bose gas"
- Predicting Patchy Particle Crystals: Variable Box Shape Simulations and Evolutionary Algorithms
- Monte Carlo Simulations of the Unitary Bose Gas
- Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics